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Abstract <p>This work investigates the thermoelastic interaction in an unbounded functionally graded (FG) materials induced by a time-dependent pulse, within the framework of the generalized thermoelastic model with Green and Naghdi type III model (GNIII). The basic equations for functionally graded materials (FGMs), characterized by spatially varying properties, are formulated based on Green-Naghdi Model. These equations are expressed using Laplace transformations to get the exact solutions. The eigenvalue techniques are employed to derive explicit solutions in the transformed domain, followed by numerical inversion of the Laplace transforms to retrieve results in the time domain. The numerical data obtained are graphically represented to examine the impacts of material inhomogeneity and pulse duration on displacement, temperature, and stress distributions.</p>

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Analytical Solutions of Thermoelastic Interactions in Functionally Graded Medium Based on Green-Naghdi Model

  • 期刊论文

  • 发表日期：

    2025年6月1日

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  • Ibrahim Abbas,
  • Areej Almuneef,
  • Alaa A. El-Bary,
  • Zuhur Alqahtani

摘要

Abstract

This work investigates the thermoelastic interaction in an unbounded functionally graded (FG) materials induced by a time-dependent pulse, within the framework of the generalized thermoelastic model with Green and Naghdi type III model (GNIII). The basic equations for functionally graded materials (FGMs), characterized by spatially varying properties, are formulated based on Green-Naghdi Model. These equations are expressed using Laplace transformations to get the exact solutions. The eigenvalue techniques are employed to derive explicit solutions in the transformed domain, followed by numerical inversion of the Laplace transforms to retrieve results in the time domain. The numerical data obtained are graphically represented to examine the impacts of material inhomogeneity and pulse duration on displacement, temperature, and stress distributions.